# Section_ 2.3 Product and Quotient Rules and Higher-Order Derivatives

Education

26

All Questions

26

Multiple Choice

0

True False

0

Essay

0

Short Answer

0

Not Answered

Q 1

Find the derivative of the algebraic function .
A)
B)
C)
D)
E)

Free

Multiple Choice

A

Q 2

Use the Product Rule to differentiate .
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 3

Find the derivative of the function .
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 4

Use the Quotient Rule to differentiate the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 5

Use the Quotient Rule to differentiate the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Use the quotient rule to differentiate the following function and evaluate .
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Find the derivative of the algebraic function .
A)
B)
C)
D)
E)

Multiple Choice

Q 8

Use the Product Rule to differentiate .
A)
B)
C)
D)
E)

Multiple Choice

Q 9

Use the Product Rule to differentiate.
A)
B)
C)
D)
E)

Multiple Choice

Q 10

Use the Quotient Rule to differentiate the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 11

Find the derivative of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 12

Find the derivative of the function .Simplify your answer.
A)
B)
C)
D)
E)

Multiple Choice

Q 13

Find the derivative of the function. .
A)
B)
C)
D)
E)

Multiple Choice

Q 14

Find the derivative of the trigonometric function .
A)
B)
C)
D)
E)

Multiple Choice

Q 15

Find an equation of the tangent line to the graph of f at the given point.
at
A)
B)
C)
D)
E)

Multiple Choice

Q 16

Determine all values of x, (if any),at which the graph of the function has a horizontal tangent.
A) and
B)
C) and
D)
E)The graph has no horizontal tangents.

Multiple Choice

Q 17

The length of a rectangle is and its height is ,where t is time in seconds and the dimensions are in inches.Find the rate of change of area,A,with respect to time.
A) square inches/second
B) square inches/second
C) square inches/second
D) square inches/second
E) square inches/second

Multiple Choice

Q 18

The radius of a right circular cylinder is and its height is ,where t is time in seconds and the dimensions are in inches.Find the rate of change of the volume of the cylinder,V,with respect to time.
A) cubic inches per second
B) cubic inches per second
C) cubic inches per second
D) cubic inches per second
E) cubic inches per second

Multiple Choice

Q 19

The ordering and transportation cost C for the components used in manufacturing a product is , where C is measured in thousands of dollars and x is the order size in hundreds.Find the rate of change of C with respect to x for .Round your answer to two decimal places.
A)-23.65 thousand dollars per hundred
B)24.79 thousand dollars per hundred
C)11.85 thousand dollars per hundred
D)-22.54 thousand dollars per hundred
E)-34.28 thousand dollars per hundred

Multiple Choice

Q 20

A population of 420 bacteria is introduced into a culture and grows in number according to the equation where t is measured in hours.Find the rate at which the population is growing when .Round your answer to two decimal places.
A)119.45 bacteria per hour
B)41.31 bacteria per hour
C)31.11 bacteria per hour
D)11.91 bacteria per hour
E)34.54 bacteria per hour

Multiple Choice

Q 21

When satellites observe Earth,they can scan only part of Earth's surface.Some satellites have sensors that can measure the angle θ shown in the figure.Let h represent the satellite's distance from Earth's surface and let r represent Earth's radius.Find the rate at which h is changing with respect to θ when (Assume r = 3960 miles. )Round your answer to the nearest unit.
A)-13718
B)-7920
C)7920
D)-4573
E)13718

Multiple Choice

Q 22

Find the second derivative of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 23

Find the second derivative of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 24

Find the second derivative of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 25

Given the derivative below find the requested higher-order derivative. , .
A)
B)
C)
D)
E)

Multiple Choice

Q 26

Suppose that an automobile's velocity starting from rest is where v is measured in feet per second.Find the acceleration at 7 seconds.Round your answer to one decimal place.
A)1.6
B)0.7
C)0.4
D)0.2
E)5.1

Multiple Choice